Find the product. Simplify your answer. (3h - 3)(3h + 3) ______

Identify special case: Identify the special case for the product (3h - 3)(3h + 3). This product is in the form of (a - b)(a + b), which is a difference of squares. Special case: (a - b)(a + b) = a^2 - b^2Identify values of a and b: Identify the values of a and b. Compare (3h - 3)(3h + 3) with (a - b)(a + b). a = 3h b = 3Apply difference of squares formula: Apply the difference of squares formula to expand (3h - 3)(3h + 3). (a - b)(a + b) = a^2 - b^2 (3h - 3)(3h + 3) = (3h)^2 - (3)^2Simplify expression: Simplify (3h)^2 - (3)^2. (3h)^2 - (3)^2 = (3h * 3h) - (3 * 3) = 9h^2 - 9

Resources

Testimonials

Plans

Resources

Testimonials

Plans

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the product. Simplify your answer. $\newline$ $(3h - 3)(3h + 3)$

View step-by-step help

Home

Math Problems

Algebra 1

Multiply two binomials: special cases

Full solution

Q. Find the product. Simplify your answer.

\newline

(3h - 3)(3h + 3)

Identify special case: Identify the special case for the product $(3h - 3)(3h + 3)$ . This product is in the form of $(a - b)(a + b)$ , which is a difference of squares. Special case: $(a - b)(a + b) = a^2 - b^2$
Identify values of $a$ and $b$ : Identify the values of $a$ and $b$ . Compare $(3h - 3)(3h + 3)$ with $(a - b)(a + b)$ . $a = 3h$ $b = 3$
Apply difference of squares formula: Apply the difference of squares formula to expand $(3h - 3)(3h + 3)$ . $\newline$ $(a - b)(a + b) = a^2 - b^2$ $\newline$ $(3h - 3)(3h + 3) = (3h)^2 - (3)^2$
Simplify expression: Simplify $(3h)^2 - (3)^2.$ $(3h)^2 - (3)^2 = (3h \times 3h) - (3 \times 3)$ $= 9h^2 - 9$